4189019927040 has 720 divisors, whose sum is σ = 15741047919168. Its totient is φ = 1029079793664.

The previous prime is 4189019927021. The next prime is 4189019927047. The reversal of 4189019927040 is 407299109814.

4189019927040 is a `hidden beast` number, since 4 + 189 + 0 + 199 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (4189019927047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3064388437 + ... + 3064389803.

Almost surely, 2^{4189019927040} is an apocalyptic number.

4189019927040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189019927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870523959584).

4189019927040 is an abundant number, since it is smaller than the sum of its proper divisors (11552027992128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4189019927040 is a wasteful number, since it uses less digits than its factorization.

4189019927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 4189019927040 in words is "four trillion, one hundred eighty-nine billion, nineteen million, nine hundred twenty-seven thousand, forty".